Geodesic
On the prime factors of non-congruent numbers
Lindsey Reinholz1 ; Blair K. Spearman1 ; Qiduan Yang1
1 Department of Mathematics and Statistics University of British Columbia Okanagan Kelowna, BC, Canada V1V 1V7
Colloquium Mathematicum, Tome 138 (2015) no. 2, pp. 271-282

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We give infinitely many new families of non-congruent numbers where the first prime factor of each number is of the form $8k+1$ and the rest of the prime factors have the form $8k+3.$ Products of elements in each family are shown to be non-congruent.
DOI : 10.4064/cm138-2-11
Keywords: infinitely many families non congruent numbers where first prime factor each number form rest prime factors have form products elements each family shown non congruent

Lindsey Reinholz 1 ; Blair K. Spearman 1 ; Qiduan Yang 1

1 Department of Mathematics and Statistics University of British Columbia Okanagan Kelowna, BC, Canada V1V 1V7 
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Lindsey Reinholz; Blair K. Spearman; Qiduan Yang. On the prime factors of non-congruent numbers. Colloquium Mathematicum, Tome 138 (2015) no. 2, pp. 271-282. doi: 10.4064/cm138-2-11

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